Q: What are the factor combinations of the number 139,033,849?

 A:
Positive:   1 x 13903384919 x 731757147 x 2958167893 x 155693
Negative: -1 x -139033849-19 x -7317571-47 x -2958167-893 x -155693


How do I find the factor combinations of the number 139,033,849?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 139,033,849, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 139,033,849
-1 -139,033,849

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 139,033,849.

Example:
1 x 139,033,849 = 139,033,849
and
-1 x -139,033,849 = 139,033,849
Notice both answers equal 139,033,849

With that explanation out of the way, let's continue. Next, we take the number 139,033,849 and divide it by 2:

139,033,849 ÷ 2 = 69,516,924.5

If the quotient is a whole number, then 2 and 69,516,924.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 139,033,849
-1 -139,033,849

Now, we try dividing 139,033,849 by 3:

139,033,849 ÷ 3 = 46,344,616.3333

If the quotient is a whole number, then 3 and 46,344,616.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 139,033,849
-1 -139,033,849

Let's try dividing by 4:

139,033,849 ÷ 4 = 34,758,462.25

If the quotient is a whole number, then 4 and 34,758,462.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 139,033,849
-1 139,033,849
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11947893155,6932,958,1677,317,571139,033,849
-1-19-47-893-155,693-2,958,167-7,317,571-139,033,849

More Examples

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